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Depósito Digital de Documentos de la UAB Encontrados 7 registros  La búsqueda tardó 0.02 segundos. 
1.
20 p, 565.6 KB The limit cycles of the Higgins-Selkov systems / Chen, Hebai (Central South University. School of Mathematics and Statistics (People's Republic of China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tang, Yilei (Shanghai Jiao Tong University. School of Mathematical Sciences (People's Republic of China))
In this paper, we investigate the problem of limit cycles for general Higgins-Selkov systems with degree n+ 1. In particular, we first prove the uniqueness of limit cycles for a general Liénard system, which allows for discontinuity. [...]
2021 - 10.1007/s00332-021-09742-0
Journal of Nonlinear Science, Vol. 31, Issue 5 (October 2021) , art. 85  
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2.
24 p, 407.3 KB Centers and limit cycles of vector fields defined on invariant spheres / Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências Letras e Ciências Exatas) ; Rodero, Ana Livia (Universidade Estadual Paulista. Instituto de Biociências Letras e Ciências Exatas) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. [...]
2021 - 10.1007/s00332-021-09751-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 92  
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3.
36 p, 1.9 MB On the existence of symmetric bicircular central configurations of the 3n-body problem / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper, we consider central configurations of the planar 3n-body problem consisting of n masses at the vertices of a regular n-gon inscribed in a circle of radius r and 2n masses at the vertices of a second (not necessarily regular) concentric 2n-gon inscribed in a circle of radius ar which are symmetric in the sense that the set of positions of the 3n masses and the set of the corresponding masses are invariant under the action of a finite subgroup of O(2). [...]
2021 - 10.1007/s00332-021-09743-z
Journal of Nonlinear Science, Vol. 31, Issue 6 (December 2021) , art. 88  
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4.
30 p, 841.9 KB Two limit cycles in Liénard piecewise linear differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ponce, Enrique (Universidad de Sevilla. Departamento de Matemática Aplicada) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
Some techniques for studying the existence of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems. Rigorous new results are provided on the existence of two limit cycles surrounding the equilibrium point at the origin for systems with three zones separated by two parallel straight lines without symmetry. [...]
2019 - 10.1007/s00332-018-9523-5
Journal of Nonlinear Science, Vol. 29, Issue 4 (August 2019) , p. 1499-1522  
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5.
27 p, 834.6 KB Zero-Hopf bifurcations in a hyperchaotic Lorenz system II / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Cândido, Murilo R. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Recently sixteen 3-dimensional differential systems exhibiting chaotic motion and having no equilibria have been studied, and it has been graphically observed that these systems have a period-doubling cascade of periodic orbits providing the route to their chaotic motions. [...]
2018
International journal of nonlinear science, Vol. 25, issue 1 (2018) , p. 3-26  
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6.
24 p, 428.2 KB Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ponce, Enrique (Escuela Técnica Superior de Ingeniería (Sevilla). Departamento de Matemática Aplicada) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática)
Some techniques for proving the existence and uniqueness of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems with two and three zones and no symmetry. [...]
2015 - 10.1007/s00332-015-9244-y
Journal of Nonlinear Science, Vol. 25 Núm. 4 (2015) , p. 861-887  
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7.
12 p, 750.6 KB The Completely Integrable Differential Systems are Essentially Linear Differential Systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática) ; Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)
Let ˙x = f(x) be a C k autonomous differential system with k ∈ N ∪ {∞, ω} defined in an open subset Ω of R n. Assume that the system ˙x = f(x) is C r completely integrable, i. e. there exist n−1 functionally independent first integrals of class C r with 2 ≤ r ≤ k. [...]
2015 - 10.1007/s00332-015-9243-z
Journal of Nonlinear Science, Vol. 25 Núm. 4 (2015) , p. 815-826  
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